83885760 has 448 divisors, whose sum is σ = 360883200. Its totient is φ = 17915904.

The previous prime is 83885759. The next prime is 83885827. The reversal of 83885760 is 6758838.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149084 + ... + 1149156.

Almost surely, 2^83885760 is an apocalyptic number.

83885760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180441600).

83885760 is an abundant number, since it is smaller than the sum of its proper divisors (276997440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83885760 is a wasteful number, since it uses less digits than its factorization.

83885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 83885760 is about 9158.9169665414. The cubic root of 83885760 is about 437.7532857157.

The spelling of 83885760 in words is "eighty-three million, eight hundred eighty-five thousand, seven hundred sixty".